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90844098617 is a prime number
BaseRepresentation
bin101010010011010111…
…0101111000000111001
322200111002012100202002
41110212232233000321
52442022042123432
6105422212150345
76364126045316
oct1244656570071
9280432170662
1090844098617
1135588141958
12157336083b5
13874997540c
14457b065d0d
15256a514e62
hex1526baf039

90844098617 has 2 divisors, whose sum is σ = 90844098618. Its totient is φ = 90844098616.

The previous prime is 90844098607. The next prime is 90844098677. The reversal of 90844098617 is 71689044809.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 58380707641 + 32463390976 = 241621^2 + 180176^2 .

It is a cyclic number.

It is not a de Polignac number, because 90844098617 - 212 = 90844094521 is a prime.

It is a super-3 number, since 3×908440986173 (a number of 34 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (90844098607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45422049308 + 45422049309.

It is an arithmetic number, because the mean of its divisors is an integer number (45422049309).

Almost surely, 290844098617 is an apocalyptic number.

It is an amenable number.

90844098617 is a deficient number, since it is larger than the sum of its proper divisors (1).

90844098617 is an equidigital number, since it uses as much as digits as its factorization.

90844098617 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3483648, while the sum is 56.

The spelling of 90844098617 in words is "ninety billion, eight hundred forty-four million, ninety-eight thousand, six hundred seventeen".